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Finding the Fourth Proportional to 8,178.33, 12,267.33 and 4,660.84

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Solution

The fourth proportional to 8,178.33, 12,267.33 and 4,660.84 is: 6,991.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.33 : 12,267.33 = 4,660.84 : x
  2. Step 2: Convert to fraction form
    8,178.33/12,267.33 = 4,660.84/x
  3. Step 3: Cross multiply
    8,178.33x = 12,267.33 × 4,660.84
  4. Step 4: Simplify right side
    8,178.33x = 57,176,062.36
  5. Step 5: Solve for x
    x = 57,176,062.36/8,178.33
  6. Step 6: Final answer
    x = 6,991.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.